Atkin-Lehner |
2+ 3+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74256g |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
325632 |
Modular degree for the optimal curve |
Δ |
105089467392 = 210 · 36 · 72 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ -6 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-202384,35111440] |
[a1,a2,a3,a4,a6] |
Generators |
[262:54:1] [-28:6384:1] |
Generators of the group modulo torsion |
j |
895270814889482308/102626433 |
j-invariant |
L |
7.3342285174019 |
L(r)(E,1)/r! |
Ω |
0.8199887823589 |
Real period |
R |
1.1180379346671 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999614 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37128n1 |
Quadratic twists by: -4 |